2.51331648e+03
 2.51327540e+03
 Inf
 2.51327533e+03
 Inf
 Inf
 2.51343626e+03
 2.51351341e+03
 2.51334779e+03
 2.51336427e+03
 2.51336608e+03
 2.51347607e+03
 2.51341387e+03
 2.51338177e+03
 2.51333201e+03
 2.51329818e+03
 2.51341761e+03
 2.51343071e+03
 2.51333346e+03
 2.51341018e+03
 2.51365165e+03
 2.51362170e+03
 2.51344519e+03
 2.51337346e+03
 2.51350377e+03
 2.51372986e+03
 2.51347252e+03
 2.51338374e+03
 2.51375296e+03
 2.51360321e+03
 2.51354762e+03
 2.51409628e+03
 2.51386170e+03
 2.51346899e+03
 2.51339315e+03
 2.51331210e+03
 2.51330103e+03
 2.51333106e+03
 2.51334726e+03
 2.51344355e+03
 2.51341091e+03
 2.51327711e+03
 2.29371659e+199
 1.23013067e+142
 2.38448512e+163
 2.04346502e+169
 3.68898520e+162
 1.89941314e+131
 7.91751028e+121
 9.00417991e+133
 4.52422684e+165
 2.11092071e+217
 8.57637221e+175
 1.59152908e+135
 7.39322899e+152
 8.11552836e+184
 3.09195603e+232
 1.20095387e+203
 1.60871841e+132
 8.11330875e+112
 4.77078336e+119
 2.15350802e+132
 3.45951696e+131
 2.93892913e+132
 1.28266835e+126
 5.65209733e+130
 7.28811521e+140
 1.24001179e+116
 3.38900277e+100
 5.92531413e+94
 2.71376435e+98
 3.68829193e+91
 1.24536713e+151
 4.42947866e+199
 1.28801355e+130
 1.11437622e+153
 3.94429313e+126
 1.26094128e+99
 1.32050452e+117
 1.16759224e+139
 2.17894835e+120
 8.23886191e+116
 2.46276368e+142
 3.06424452e+143
 2.77459251e+109
 1.89346754e+103
 1.22737022e+116
 1.06269160e+125
 5.03097881e+128
 2.17358113e+135
 3.49166053e+110
 3.39377686e+109
 7.17811890e+147
 7.65978839e+145
 2.14533941e+127
 6.68682707e+127
 1.06628789e+125
 3.62851573e+140
 2.39381568e+149
 4.26472637e+138
 3.00650039e+135
 9.28899890e+155
 2.31579194e+148
 4.91900154e+152
 2.09721279e+233
 4.74851983e+204
 2.15671170e+143
 6.09787549e+167
 1.44821086e+152
 5.05062378e+127
 9.57579088e+174
 7.41774914e+190
 2.17251276e+178
 1.34916275e+198
 7.65900277e+215
 4.42522093e+205
 Inf
 Inf
 3.08779774e+242
 1.72305830e+240
 2.26725045e+204
 1.43376916e+222
 4.33655074e+282
 1.07144321e+268
 2.48657946e+271
 Inf
 2.46333028e+286
 2.15814071e+300
 Inf
 Inf
 9.36555834e+271
 2.30472017e+254
 Inf
 Inf
 8.21456294e+232
 1.90802149e+208
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.42827822e+253
 Inf
 Inf
 7.43591725e+292
 1.02259270e+168
 1.05034717e+242
 Inf
 Inf
 Inf
 Inf
 Inf
 7.25602058e+303
 7.07676871e+274
 1.99970090e+206
 7.00842391e+187
 2.45122332e+271
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.80630688e+231
 3.00417778e+157
 2.02575954e+180
 Inf
 8.91522025e+298
 4.90769803e+223
 5.77608871e+189
 2.77963297e+172
 7.41651184e+283
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.61049021e+283
 4.05894114e+227
 1.31228151e+188
 1.42622855e+246
 Inf
 Inf
 Inf
 Inf
 Inf
 1.85787995e+270
 4.05355732e+227
 4.74505243e+204
 3.41810596e+156
 2.02528876e+180
 7.07661257e+177
 7.16253504e+157
 1.89666108e+144
 2.27171502e+119
 7.81693183e+172
 1.33807465e+263
 6.21916482e+239
 5.83307668e+161
 6.15363068e+163
 1.02162893e+212
 9.24588676e+216
 6.66518612e+173
 4.97222058e+147
 9.20493475e+185
 2.11655053e+233
 1.10302767e+199
 1.47846825e+176
 5.16508490e+191
 1.42739593e+246
 Inf
 Inf
 Inf
 Inf
 Inf
 1.08561861e+301
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327448e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51329849e+03
 2.51329405e+03
 Inf
 2.51327484e+03
 2.51327429e+03
 Inf
 Inf
 Inf
 Inf
 2.51327444e+03
 Inf
 Inf
 Inf
 2.51327420e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331171e+03
 2.51329849e+03
 2.51328231e+03
 2.51330580e+03
 Inf
 Inf
 Inf
 Inf
 2.51327514e+03
 Inf
 Inf
 2.51327490e+03
 2.51328502e+03
 Inf
 Inf
 2.51327412e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327460e+03
 Inf
 2.51327413e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.54287412e+271
 Inf
 2.51327527e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.72197473e+210
 4.14951236e+211
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.92257779e+298
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327432e+03
 Inf
 Inf
 Inf
 1.42779699e+303
 1.81885977e+298
 Inf
 2.51328502e+03
 2.51327419e+03
 Inf
 7.63265274e+256
 Inf
 7.82616395e+290
 Inf
 Inf
 Inf
 Inf
 Inf
 3.83361416e+241
 2.57651527e+281
 Inf
 Inf
 2.51328093e+03
 2.51328982e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51331772e+03
 2.51342757e+03
 2.51329350e+03
 2.51328342e+03
 2.51329350e+03
 2.51330371e+03
 2.51339178e+03
 Inf
 Inf
 2.51329350e+03
 2.51329578e+03
 Inf
 Inf
 Inf
 2.51327690e+03
 Inf
 Inf
 Inf
 2.51327432e+03
 Inf
 2.51327465e+03
 2.51331210e+03
 2.51331772e+03
 2.51330236e+03
 2.51485091e+03
 2.51829618e+03
 2.51597495e+03
 2.51497827e+03
 2.51424099e+03
 2.51385564e+03
 2.51356665e+03
 2.51347429e+03
 2.51353731e+03
 2.51347340e+03
 2.51359528e+03
 2.51351632e+03
 2.51335052e+03
 2.51333443e+03
 2.51334302e+03
 2.51341018e+03
 2.51343308e+03
 2.51331897e+03
 2.51338242e+03
 2.51353325e+03
 2.51370341e+03
 2.51353833e+03
 2.51334997e+03
 2.51349341e+03
 2.51399167e+03
 2.51378796e+03
 2.51352422e+03
 2.51361240e+03
 2.51381104e+03
 2.51376959e+03
 2.51353731e+03
 2.51347341e+03
 2.51350282e+03
 2.51362055e+03
 2.51351340e+03
 2.51344191e+03
 2.51364921e+03
 2.51372718e+03
 2.51364921e+03
 2.51354347e+03
 2.51355282e+03
 2.51341462e+03
 2.51339452e+03
 2.51364314e+03
 2.51381982e+03
 2.51365655e+03
 2.51354038e+03
 2.51359079e+03
 2.51354141e+03
 2.51344029e+03
 2.51336488e+03
 2.51359528e+03
 2.51409089e+03
 2.51386018e+03
 2.51348147e+03
 2.51377804e+03
 2.51378395e+03
 2.51344932e+03
 2.51352025e+03
 2.51376962e+03
 2.51375838e+03
 2.51365778e+03
 2.51373929e+03
 2.51376127e+03
 2.51366272e+03
 2.51377522e+03
 2.51412539e+03
 2.51362525e+03
 2.51328957e+03
 2.51329241e+03
 2.51344273e+03
 2.51361125e+03
 2.51360767e+03
 2.51360894e+03
 2.51335841e+03
 2.51332110e+03
 2.51337283e+03
 2.51327911e+03
 2.51327427e+03
 2.51327869e+03
 2.51334459e+03
 2.51334943e+03
 2.51328286e+03
 2.51328421e+03
 2.51327939e+03
 Inf
 2.51328523e+03
 Inf
 2.51364435e+03
 2.51437018e+03
 2.51353731e+03
 2.51366769e+03
 2.51375987e+03
 2.51374881e+03
 2.51353528e+03
 2.51332284e+03
 2.51336015e+03
 2.51364073e+03
 2.51381982e+03
 2.51400862e+03
 2.51379944e+03
 2.51345520e+03
 2.51350472e+03
 2.51347429e+03
 2.51363953e+03
 2.51384808e+03
 2.51366894e+03
 2.51362173e+03
 2.51347429e+03
 2.51335498e+03
 2.51352521e+03
 2.51367522e+03
 2.51347876e+03
 2.51351927e+03
 2.51361938e+03
 2.51345099e+03
 2.51335898e+03
 2.51340726e+03
 2.51367145e+03
 2.51351243e+03
 2.51337982e+03
 2.51366272e+03
 2.51359866e+03
 2.51344601e+03
 2.51345013e+03
 2.51339042e+03
 2.51340223e+03
 2.51344191e+03
 2.51339940e+03
 2.51337725e+03
 2.51330832e+03
 2.51332461e+03
 2.51338177e+03
 2.51343787e+03
 2.51373659e+03
 2.51373939e+03
 2.51360436e+03
 2.51352026e+03
 2.51338572e+03
 2.51334834e+03
 2.51355389e+03
 2.51358746e+03
 2.51354554e+03
 2.51363713e+03
 2.51353022e+03
 2.51354553e+03
 2.51331607e+03
 2.51336850e+03
 2.51371653e+03
 2.51357205e+03
 2.51344029e+03
 2.51357860e+03
 2.51364557e+03
 2.51351049e+03
 2.51355917e+03
 2.51346549e+03
 2.51335498e+03
 2.51352521e+03
 2.51360551e+03
 2.51368919e+03
 2.51370734e+03
 2.51333443e+03
 2.51337917e+03
 2.51365655e+03
 2.51348511e+03
 2.51337598e+03
 2.51337347e+03
 2.51349155e+03
 2.51344191e+03
 2.51333790e+03
 2.51336368e+03
 2.51349528e+03
 2.51335052e+03
 2.51334354e+03
 2.51348602e+03
 2.51355600e+03
 2.51370080e+03
 2.51361588e+03
 2.51337471e+03
 2.51327939e+03
 2.51336912e+03
 2.51347608e+03
 2.51340509e+03
 2.51356881e+03
 2.51354037e+03
 2.51340081e+03
 2.51353629e+03
 2.51385868e+03
 2.51358411e+03
 2.51343149e+03
 2.51358411e+03
 2.51365902e+03
 2.51350377e+03
 2.51361938e+03
 2.51392427e+03
 2.51358190e+03
 2.51359185e+03
 2.51353123e+03
 2.51338242e+03
 2.51341313e+03
 2.51351535e+03
 2.51364194e+03
 2.51342064e+03
 2.51328908e+03
 2.51347075e+03
 2.51353630e+03
 2.51335554e+03
 2.51338705e+03
 2.51354554e+03
 2.51338572e+03
 2.51327711e+03
 Inf
 2.51327441e+03
 2.51334094e+03
 Inf
 Inf
 2.51328884e+03
 Inf
 Inf
 2.51327474e+03
 Inf
 Inf
 9.38790432e+271
 Inf
 Inf
 Inf
 2.51337853e+03
 2.51340582e+03
 2.51343787e+03
 2.51335611e+03
 2.51330795e+03
 2.51351243e+03
 2.51373930e+03
 2.51354141e+03
 2.51377804e+03
 2.51377868e+03
 2.51348511e+03
 2.51340223e+03
 2.51330371e+03
 2.51328323e+03
 2.51327911e+03
 2.51353629e+03
 2.51378941e+03
 2.51334888e+03
 2.51335956e+03
 2.51347340e+03
 2.51351731e+03
 2.51364073e+03
 2.51376264e+03
 2.51353224e+03
 2.51347341e+03
 2.51369176e+03
 2.51371524e+03
 2.51347607e+03
 2.51346377e+03
 2.51347251e+03
 2.51329109e+03
 2.51328110e+03
 2.51330006e+03
 2.51331133e+03
 2.51340945e+03
 2.51348878e+03
 2.51359303e+03
 2.51352821e+03
 2.51329607e+03
 2.51330103e+03
 2.51330337e+03
 2.51329109e+03
 Inf
 2.51327722e+03
 2.51346289e+03
 2.51336668e+03
 2.51334302e+03
 2.51330615e+03
 2.51330943e+03
 2.51332153e+03
 2.51335668e+03
 2.51327438e+03
 2.51327768e+03
 2.51357532e+03
 2.51335052e+03
 2.51327578e+03
 2.51329350e+03
 2.51328565e+03
 2.51327412e+03
 2.51327911e+03
 2.51329787e+03
 2.51327669e+03
 2.51327711e+03
 Inf
 Inf
 2.51328381e+03
 2.51330906e+03
 2.51340438e+03
 2.51349715e+03
 2.51332965e+03
 2.51327420e+03
 Inf
 Inf
 2.51328421e+03
 2.51333941e+03
 2.51329975e+03
 Inf
 Inf
 2.51327415e+03
 2.51328029e+03
 2.51333541e+03
 2.51327701e+03
 Inf
 2.51328213e+03
 2.51327733e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327474e+03
 Inf
 6.71831879e+201
 2.29662424e+173
 2.37617032e+252
 Inf
 1.05291785e+276
 1.10782396e+199
 5.98392469e+221
 Inf
 Inf
 Inf
 Inf
 Inf
 1.96174882e+209
 4.32826595e+196
 3.31190194e+174
 2.63655186e+193
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.03238503e+238
 1.80397541e+283
 Inf
 2.51327413e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327555e+03
 Inf
 Inf
 Inf
 Inf
 2.51328608e+03
 2.51331897e+03
 2.51327939e+03
 Inf
 Inf
 Inf
 Inf
 1.29833650e+214
 2.11222203e+211
 Inf
 Inf
 2.50813954e+243
 2.96100764e+238
 Inf
 Inf
 4.72371567e+263
 Inf
 Inf
 Inf
 Inf
 Inf
 1.07547310e+221
 1.71764170e+240
 Inf
 Inf
 Inf
 Inf
 2.51328630e+03
 Inf
 Inf
 2.51327595e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327768e+03
 2.51331446e+03
 2.51338705e+03
 2.51357314e+03
 2.51338242e+03
 Inf
 Inf
 2.51328304e+03
 2.51327869e+03
 Inf
 Inf
 2.51327563e+03
 2.51332417e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.13138605e+260
 5.41185390e+236
 Inf
 Inf
 2.50751573e+278
 Inf
 2.51327441e+03
 5.75646977e+264
 1.12578595e+155
 2.51327415e+03
 2.51360551e+03
 Inf
 2.78818378e+302
 Inf
 2.51327415e+03
 2.51328161e+03
 2.51327415e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327427e+03
 Inf
 4.95626275e+223
 1.47927861e+234
 Inf
 1.06109875e+287
 7.05442405e+243
 Inf
 2.51348329e+03
 2.51361589e+03
 2.51342757e+03
 2.51386171e+03
 2.51453856e+03
 2.51402919e+03
 2.51331288e+03
 Inf
 Inf
 4.94986359e+223
 1.35781639e+202
 2.94149809e+238
 2.14321328e+300
 1.59874669e+292
 1.74365486e+225
 5.38654332e+236
 3.12033910e+232
 Inf
 Inf
 4.94681889e+223
 1.46778839e+161
 1.83051377e+140
 5.06691567e+193
 4.88408124e+245
 2.79872770e+172
 1.19758831e+128
 1.10605198e+138
 4.21339641e+141
 1.51953051e+114
 1.00922799e+113
 6.00922673e+134
 1.38197713e+133
 7.78895911e+136
 5.16765271e+166
 7.40281711e+125
 9.60937020e+113
 4.02242943e+116
 2.47280720e+113
 1.90152657e+97
 1.03452693e+90
 9.31929415e+129
 5.56992013e+125
 1.79241399e+105
 8.33570306e+166
 2.40453700e+278
 8.31096796e+250
 1.99500943e+206
 5.14258636e+193
 5.79972960e+171
 5.05421131e+212
 6.91737086e+230
 3.34092475e+293
 9.33291879e+216
 2.04707448e+180
 3.30304817e+174
 8.15652425e+184
 Inf
 Inf
 Inf
 2.51328587e+03
 2.51370994e+03
 2.51344518e+03
 2.51346810e+03
 2.51355179e+03
 2.51331772e+03
 2.51346031e+03
 2.51359191e+03
 2.51347163e+03
 2.51354244e+03
 2.51347340e+03
 2.51339110e+03
 2.51340653e+03
 2.51351829e+03
 2.51341165e+03
 2.51328362e+03
 2.51358080e+03
 2.51373796e+03
 2.51335668e+03
 2.51340581e+03
 2.51346117e+03
 2.51353731e+03
 2.51335385e+03
 2.51327533e+03
 1.07946130e+235
 3.78325805e+119
 3.18736323e+134
 Inf
 2.51346463e+03
 2.51333840e+03
 2.51333939e+03
 2.51330580e+03
 2.51341988e+03
 2.51327701e+03
 1.48964425e+222
 3.40430669e+197
 1.02920779e+212
 2.44977606e+188
 3.20223036e+123
 5.04874678e+65
 9.28339676e+64
 3.11612382e+105
 4.41647353e+117
 8.79763952e+62
 4.25299490e+94
 Inf
 6.30339577e+119
 2.38736689e+100
 1.79325219e+104
 1.89043946e+103
 8.32693091e+166
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.40449842e+253
 1.53092484e+137
 6.70287654e+127
 1.57994018e+103
 4.35605662e+96
 4.48974494e+107
 4.77888298e+133
 2.65878470e+158
 9.13904047e+143
 2.10215295e+137
 7.39761033e+152
 6.34422829e+143
 1.81254166e+104
 7.49310442e+102
 2.79666516e+110
 2.28113405e+103
 5.30736680e+110
 1.70330104e+130
 3.61336704e+120
 3.99106116e+118
 5.76520979e+160
 4.17726047e+206
 3.92142044e+190
 1.70094801e+197
 5.50456558e+264
 1.74343201e+158
 1.81656228e+104
 4.34415099e+94
 9.39344853e+114
 1.52424504e+106
 1.30524459e+103
 1.16111696e+139
 1.72316440e+150
 3.63178715e+145
 1.35185715e+154
 1.87916134e+208
 1.09929581e+199
 4.35724074e+210
 6.17465249e+167
 1.19631251e+145
 8.46085242e+166
 2.30218970e+161
 2.55571998e+164
 9.15497885e+216
 7.68329079e+215
 1.35635638e+202
 1.45187404e+237
 Inf
 2.98124775e+249
 1.91718925e+131
 2.58078389e+170
 6.46557820e+179
 1.83534355e+200
 Inf
 4.92045940e+223
 1.00178196e+194
 5.00078886e+122
 2.23620295e+126
 1.94875452e+210
 1.46578019e+162
 8.97160919e+127
 2.64088486e+104
 3.51104749e+99
 4.22779062e+79
 8.61263144e+95
 7.36142925e+215
 1.06159328e+242
 9.03223441e+206
 2.87567434e+151
 8.56590815e+141
 5.60249374e+169
 3.19286749e+166
 2.60018043e+155
 5.03642707e+146
 2.30599661e+177
 1.11510406e+155
 4.47038486e+117
 3.19283480e+125
 2.83751200e+127
 1.18170799e+128
 2.29394562e+96
 1.77328046e+95
 3.57131893e+120
 5.18670279e+112
 1.25161264e+106
 2.53324533e+131
 2.21769154e+183
 6.75225387e+197
 3.03935016e+102
 2.13487657e+82
 1.24268690e+99
 1.15716690e+97
 7.58892961e+113
 1.19214966e+115
 7.91555525e+108
 1.50059024e+115
 Inf
 2.51512942e+03
 2.51523476e+03
 2.51350952e+03
 7.22686178e+265
 1.35864077e+184
 2.32275514e+162
 5.69643713e+130
 1.86271844e+106
 1.50569928e+114
 1.58206202e+124
 2.97081271e+99
 7.08800688e+96
 7.58824505e+113
 5.01368521e+128
 3.36619660e+106
 2.49252733e+92
 4.70061533e+114
 6.07758540e+121
 3.47516306e+108
 1.37430065e+112
 1.68684636e+117
 3.81608217e+115
 5.17953607e+112
 2.23574662e+109
 4.48486976e+89
 2.59531123e+84
 4.92035237e+99
 1.79815242e+83
 1.83896391e+68
 5.30441001e+74
 1.65031310e+88
 8.96577886e+84
 7.76418493e+82
 1.18586335e+110
 1.48875912e+104
 5.72133026e+91
 5.21652360e+92
 1.11254679e+83
 1.96179391e+79
 1.69772915e+74
 1.70288531e+71
 1.17641007e+82
 1.36241339e+90
 4.29889214e+93
 6.78526177e+89
 1.96677689e+79
 4.47224808e+98
 2.79220742e+110
 1.36797384e+97
 3.87975669e+92
 9.44490228e+94
 4.78851914e+100
 1.28578578e+93
 6.02061271e+78
 1.50410086e+87
 2.11512826e+112
 5.23246238e+108
 4.81120708e+103
 3.84205784e+82
 1.01614471e+87
 7.28742770e+79
 5.28856604e+77
 1.86458318e+115
 3.46924202e+108
 6.99990983e+101
 5.10821722e+97
 4.40291985e+117
 1.05826630e+148
 2.59001097e+155
 3.69845102e+160
 3.07611674e+143
 1.29142104e+140
 6.36758624e+131
 3.19871466e+134
 1.11583189e+153
 3.37627787e+147
 7.69383299e+113
 1.05989196e+99
 2.37317254e+101
 3.20670188e+90
 1.40703207e+75
 4.11813871e+99
 2.13204574e+152
 2.10960679e+136
 1.88744223e+133
 9.29512733e+169
 1.18819221e+203
 1.05911083e+242
 5.72409550e+213
 5.81729326e+161
 6.46663634e+214
 3.68447118e+181
 1.04186528e+131
 7.54519155e+102
 3.28216028e+83
 1.01743720e+77
 1.44410611e+88
 6.76828283e+104
 1.66346234e+101
 6.22648212e+102
 3.86633026e+129
 6.30804124e+143
 2.19745460e+156
 6.38856735e+131
 2.85274968e+100
 2.98121387e+114
 5.69427300e+135
 2.43142710e+123
 1.66887892e+197
 6.89782987e+230
 7.18139792e+123
 6.47038394e+124
 1.30499418e+144
 1.49020020e+160
 1.27394300e+113
 1.90729148e+118
 1.31981067e+184
 9.56523873e+159
 5.69243614e+104
 7.61167307e+113
 2.89321165e+129
 8.25816960e+116
 1.14006529e+135
 2.36160555e+286
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51382128e+03
 2.51405188e+03
 2.51327998e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.21634042e+129
 1.25677961e+106
 1.92074117e+166
 3.87067788e+234
 8.92528064e+249
 1.10509044e+199
 5.64361389e+285
 2.01241504e+236
 1.94303819e+157
 8.12483507e+184
 6.94188445e+274
 Inf
 Inf
 1.06785255e+226
 4.52912216e+226
 9.10703466e+199
 5.31451224e+149
 1.25667739e+273
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.39283446e+253
 2.96497837e+238
 Inf
 Inf
 Inf
 Inf
 3.43726803e+293
 Inf
 Inf
 5.47446108e+301
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.09955731e+187
 6.54949850e+112
 1.18178508e+128
 1.72007105e+165
 1.70614954e+117
 1.49287220e+99
 1.36356983e+119
 7.74383243e+120
 2.07500093e+141
 2.71651118e+185
 9.92251340e+163
 5.23188631e+156
 6.09235587e+239
 Inf
 8.40001689e+222
 3.95777343e+237
 1.57761526e+170
 9.15826657e+143
 6.30378782e+228
 Inf
 2.74670983e+198
 5.66678689e+169
 2.76974048e+172
 1.44939550e+152
 5.27290481e+149
 4.94948202e+147
 5.69918713e+137
 1.98571676e+113
 1.49691605e+137
 9.15275201e+160
 2.47504703e+159
 6.94603063e+187
 1.23889055e+169
 1.28297835e+130
 3.72619580e+111
 1.08646596e+103
 1.08065161e+94
 1.88337729e+103
 1.06573554e+119
 1.23296126e+134
 4.14611152e+135
 6.59884016e+133
 1.86205238e+123
 4.86876502e+113
 1.32743992e+117
 1.20199315e+110
 2.25668195e+106
 3.50375841e+142
 2.10524878e+136
 2.92840821e+122
 4.29669933e+170
 4.38813857e+205
 4.06821644e+177
 6.56156668e+181
 1.96382337e+166
 2.98040976e+141
 4.91068626e+152
 3.86983231e+173
 9.02648449e+199
 8.55077332e+166
 1.16596252e+150
 1.84915600e+110
 8.06766935e+124
 4.49598637e+263
 1.18920501e+179
 3.48972801e+131
 1.48416141e+143
 1.49093635e+163
 3.42971880e+171
 3.89683857e+190
 3.81834382e+182
 5.91082647e+153
 1.73268556e+165
 8.14235287e+250
 Inf
 1.41246107e+167
 2.14545412e+143
 1.11818452e+213
 2.28513451e+254
 3.70046556e+181
 2.70281319e+191
 1.99760191e+223
 2.51127191e+142
 6.32965227e+143
 2.01833370e+180
 3.19898045e+166
 7.29166601e+147
 1.09563356e+149
 2.37760996e+286
 Inf
 8.96569060e+298
 1.16254479e+180
 2.19562622e+135
 5.72570072e+171
 7.41177386e+165
 7.84237577e+136
 7.53451930e+215
 1.05359828e+230
 2.86370010e+195
 3.75309179e+167
 9.19392111e+139
 1.40069742e+191
 7.31424946e+142
 2.18194149e+105
 7.06492214e+92
 6.29572826e+95
 3.15077252e+116
 1.20758218e+102
 2.14950184e+86
 9.48881283e+80
 2.45874464e+80
 1.11277922e+89
 2.05996001e+137
 5.72924913e+171
 1.49919257e+160
 1.63682355e+172
 2.16518701e+178
 2.44725727e+184
 4.98030887e+147
 1.21328409e+171
 7.41157442e+190
 1.39668561e+167
 1.63928889e+172
 2.20290894e+199
 Inf
 Inf
 8.36487965e+250
 2.51327495e+03
 2.51327460e+03
 8.26201371e+219
 6.54268881e+214
 5.99474279e+99
 1.25880537e+94
 2.48219825e+226
 Inf
 Inf
 Inf
 2.51327680e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328029e+03
 2.51329818e+03
 2.51331486e+03
 2.51347518e+03
 2.51358968e+03
 2.51336132e+03
 2.51342447e+03
 2.51343308e+03
 2.51333690e+03
 2.51345267e+03
 2.51333346e+03
 2.51327432e+03
 2.51328544e+03
 2.51330039e+03
 2.51328126e+03
 2.51328014e+03
 2.51328884e+03
 2.51332461e+03
 2.51331566e+03
 2.51327897e+03
 2.51327444e+03
 Inf
 2.51331327e+03
 2.51359867e+03
 2.51334833e+03
 2.51327412e+03
 Inf
 Inf
 1.73498491e+197
 1.58982760e+264
 Inf
 Inf
 Inf
 Inf
 1.30379885e+214
 2.65564684e+218
 Inf
 Inf
 2.51338177e+03
 2.51346117e+03
 Inf
 Inf
 2.51328077e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327460e+03
 2.51328267e+03
 Inf
 3.32528813e+248
 Inf
 Inf
 2.51333249e+03
 2.51329880e+03
 2.51330943e+03
 2.51327420e+03
 4.52202530e+282
 Inf
 Inf
 2.51336015e+03
 2.51350760e+03
 Inf
 Inf
 2.51338506e+03
 2.51328267e+03
 Inf
 Inf
 Inf
 7.37102306e+294
 2.92500872e+307
 Inf
 Inf
 Inf
 Inf
 8.89778182e+288
 Inf
 Inf
 Inf
 Inf
 Inf
 1.31210947e+273
 Inf
 Inf
 Inf
 2.51327540e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.03208378e+228
 1.68790235e+245
 Inf
 Inf
 1.46625000e+246
 1.20287441e+203
 1.54180564e+294
 1.00865059e+194
 6.43374414e+226
 Inf
 2.51403961e+03
 2.51336547e+03
 1.10451370e+226
 2.51329057e+03
 Inf
 Inf
 2.51344191e+03
 2.51329607e+03
 2.51327465e+03
 2.51328178e+03
 2.51327856e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327640e+03
 2.51327650e+03
 1.75291519e+245
 Inf
 2.51340509e+03
 2.51337788e+03
 2.51328342e+03
 Inf
 9.48036284e+259
 2.66857649e+193
 3.44860199e+171
 4.15350766e+209
 7.10908379e+177
 1.73564936e+112
 1.89499539e+103
 1.01031088e+111
 1.70347484e+130
 1.98253045e+113
 2.00642320e+94
 4.27020805e+110
 5.41139198e+132
 7.34112049e+165
 2.57964722e+150
 9.30788998e+123
 5.13453014e+140
 8.54516937e+141
 1.39881542e+131
 1.51039277e+308
 2.75089257e+302
 2.20701582e+152
 7.01328703e+192
 8.65593187e+288
 Inf
 6.80885341e+270
 1.20584962e+203
 6.13382027e+155
 3.02262479e+114
 1.41103186e+96
 4.95575010e+106
 4.67620722e+121
 3.10446589e+154
 1.69607658e+155
 1.49420733e+160
 5.19861448e+166
 4.62565954e+139
 2.91396234e+129
 6.47780062e+181
 1.23818782e+178
 1.22382695e+124
 9.10350012e+139
 1.27610049e+130
 5.68150515e+150
 1.69306358e+153
 7.67818376e+130
 3.61803351e+181
 3.42767063e+148
 1.01712766e+113
 4.78858973e+133
 1.84853124e+125
 1.82101107e+109
 1.52600722e+108
 3.43326997e+131
 1.04302752e+132
 3.90291294e+129
 1.07805057e+199
 Inf
 Inf
 2.51330371e+03
 2.51332110e+03
 2.51327631e+03
 Inf
 Inf
 2.51329607e+03
 2.51335107e+03
 2.51333739e+03
 2.51327587e+03
 Inf
 Inf
 Inf
 2.51327621e+03
 2.51327417e+03
 2.06762882e+236
 9.18335563e+271
 Inf
 7.57248552e+252
 6.62811600e+181
 4.69432205e+172
 1.49293272e+185
 2.44952776e+271
 2.38521672e+266
 5.71181323e+285
 Inf
 1.26196847e+183
 2.24737615e+204
 1.87950481e+220
 9.21691889e+143
 1.11308696e+146
 8.74799853e+208
 1.04919757e+282
 2.92045494e+307
 Inf
 2.51329943e+03
 2.51389104e+03
 2.51385248e+03
 2.51357860e+03
 2.51375986e+03
 2.51430658e+03
 2.51443571e+03
 2.51376125e+03
 2.51356024e+03
 6.62923082e+98
 3.17867214e+105
 2.51365165e+03
 2.51339590e+03
 2.51337535e+03
 2.51362643e+03
 2.51354657e+03
 2.51336973e+03
 2.51355284e+03
 2.51407658e+03
 2.51423711e+03
 2.51393554e+03
 2.51396325e+03
 2.51387397e+03
 2.51354450e+03
 2.51358743e+03
 2.51365165e+03
 2.51380668e+03
 2.51426261e+03
 2.51395016e+03
 2.51332918e+03
 Inf
 Inf
 2.51328982e+03
 2.51359416e+03
 2.51350092e+03
 2.51340152e+03
 2.51359641e+03
 2.51350282e+03
 2.51348971e+03
 2.51376682e+03
 2.51400012e+03
 2.51329787e+03
 3.59661217e+222
 5.78863616e+202
 9.43568639e+162
 1.24500627e+157
 1.34058080e+202
 1.24151400e+169
 4.24018447e+141
 9.58578476e+151
 7.38053486e+165
 2.06383693e+154
 2.30405890e+147
 1.43582914e+195
 Inf
 8.95894334e+298
 9.08065419e+206
 7.41336829e+235
 1.72152120e+240
 Inf
 5.88833579e+171
 2.49538302e+142
 5.70081235e+150
 3.55126732e+142
 1.99394224e+187
 4.83590896e+223
 1.67351086e+168
 2.46507366e+118
 2.14998899e+152
 1.57266652e+147
 2.55869536e+153
 5.43425221e+264
 3.41626095e+219
 2.51600978e+221
 Inf
 9.33616891e+271
 5.84837946e+161
 1.70806296e+225
 7.10982986e+192
 1.41841358e+191
 Inf
 8.63079141e+258
 3.43713827e+272
 6.70110080e+173
 4.97221631e+147
 5.69248505e+189
 1.17885781e+179
 1.90229748e+133
 6.11745147e+115
 4.34063282e+176
 1.99410066e+244
 5.83504977e+171
 1.00900444e+168
 1.04384417e+143
 1.23939160e+157
 1.58566002e+296
 5.71973092e+169
 3.14857563e+97
 1.05518077e+125
 4.77046819e+245
 9.39992918e+205
 4.08807478e+183
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.34721012e+254
 2.47255176e+184
 9.40633594e+169
 6.50646949e+158
 3.63817032e+145
 5.36387749e+110
 7.50825208e+102
 6.29382146e+131
 7.51889992e+215
 9.15032750e+271
 3.65771640e+180
 2.11726775e+182
 2.51380089e+03
 2.51684635e+03
 2.51730441e+03
 2.51769171e+03
 2.51759145e+03
 2.51579198e+03
 2.51367901e+03
 2.51341092e+03
 2.51338639e+03
 2.51329057e+03
 Inf
 2.78147496e+250
 1.46264059e+152
 9.13671268e+161
 2.96891688e+242
 1.17312888e+262
 9.18014182e+209
 4.54490164e+168
 2.04434835e+181
 2.28922870e+173
 7.46834132e+168
 3.98611686e+227
 Inf
 5.84452350e+202
 6.16832482e+167
 2.04427211e+171
 1.02504988e+111
 3.97955724e+118
 1.67729782e+153
 2.10337342e+217
 2.46725796e+271
 6.21728443e+277
 3.84548788e+268
 1.92512649e+192
 Inf
 Inf
 3.02288372e+157
 1.90049667e+207
 8.74495867e+298
 2.25556229e+52
 3.34845556e+48
 4.50187554e+105
 2.29438791e+108
 4.35487749e+143
 2.51327484e+03
 Inf
 1.87838978e+140
 1.33553682e+198
 2.27831682e+254
 4.35967721e+282
 1.15168958e+218
 2.18959436e+196
 1.05767009e+242
 Inf
 Inf
 2.97020736e+307
 2.16322179e+300
 4.36368447e+299
 Inf
 Inf
 Inf
 Inf
 4.42020449e+282
 Inf
 Inf
 Inf
 Inf
 Inf
 5.63842239e+264
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.50816890e+271
 3.70590735e+181
 7.14691046e+123
 6.45488270e+139
 3.86666328e+153
 7.42725124e+152
 2.40073697e+149
 3.37357071e+147
 4.54168939e+165
 2.91608288e+238
 1.55283038e+294
 8.63112344e+242
 1.84102607e+274
 2.56099596e+213
 1.71543264e+240
 4.35028963e+282
 1.03921027e+261
 2.96749409e+238
 7.13322882e+177
 Inf
 Inf
 3.80666914e+241
 2.26544505e+183
 1.01109693e+168
 Inf
 Inf
 Inf
 2.75235724e+275
 1.74097657e+225
 1.61219888e+227
 Inf
 Inf
 Inf
 6.16831172e+97
 1.24125330e+25
 6.23009115e+13
 1.88496067e+18
 1.35446781e+79
 5.54885993e+171
 2.86397262e+175
 3.66617532e+297
 5.22434868e+203
 4.96126919e+175
 3.74105426e+167
 4.74242422e+121
 9.75407750e+108
 4.81158926e+103
 1.55492032e+111
 6.55017296e+133
 2.05072287e+179
 Inf
 1.44286594e+191
 2.87097354e+127
 3.80739074e+150
 3.37450288e+147
 3.96434673e+155
 6.65145785e+178
 1.54275511e+308
 1.36288225e+184
 2.18178924e+132
 3.26094529e+139
 3.85447234e+159
 1.33799992e+184
 2.18891810e+121
 2.10519869e+99
 1.59246573e+84
 4.81936479e+80
 1.67167738e+85
 9.96150534e+101
 2.25072371e+106
 4.27597036e+84
 2.64138141e+81
 2.46938065e+92
 3.53494696e+124
 5.96239864e+94
 9.25111738e+78
 3.02389446e+61
 4.71510213e+61
 4.92069064e+93
 2.76788533e+120
 1.71339901e+150
 4.41010779e+143
 4.40810293e+134
 8.11757661e+112
 3.47237412e+110
 2.66224260e+112
 1.08822608e+136
 3.69012779e+200
 3.66435348e+161
 3.18754216e+166
 2.06407899e+154
 2.19448605e+104
 1.24243194e+108
 1.02724484e+143
 4.15012531e+158
 7.43500715e+152
 4.27076240e+151
 1.65368408e+168
 2.73578225e+185
 1.17905931e+182
 5.43604662e+198
 1.70888314e+155
 5.14379480e+118
 2.89938637e+136
 1.64890236e+137
 2.26815445e+119
 1.08669531e+149
 1.58349649e+164
 8.37364438e+134
 9.56847582e+151
 2.80444802e+165
 1.70915560e+134
 3.05799193e+143
 2.59046522e+170
 1.97735046e+210
 1.44664437e+219
 4.83323202e+273
 2.02678690e+244
 2.12078015e+211
 1.06074939e+242
 Inf
 Inf
 1.74136750e+186
 1.46075496e+161
 6.84528667e+182
 1.30837936e+121
 2.01009830e+94
 2.36883773e+100
 4.79805392e+103
 4.07078276e+101
 9.69503739e+108
 4.65354342e+131
 4.08628561e+164
 3.73159383e+187
 8.97351535e+153
 2.09325049e+124
 2.19765912e+88
 5.09643657e+96
 3.55799552e+161
 3.73057236e+167
 2.51170004e+145
 5.67849261e+130
 3.05503722e+143
 7.31179145e+140
 3.43965035e+146
 6.63553361e+178
 1.34740964e+173
 2.05325255e+190
 4.35021591e+210
 1.30492289e+140
 4.25575520e+138
 2.84115947e+151
 2.18522887e+135
 5.83318236e+162
 3.88903061e+190
 3.99649998e+276
 2.56155596e+213
 8.57215481e+175
 3.99333383e+227
 7.34336815e+170
 1.87459143e+123
 2.39801359e+115
 2.49609553e+99
 1.29838563e+120
 4.95203716e+185
 5.29193373e+129
 7.90980807e+135
 2.39086139e+149
 1.92379916e+118
 2.79363238e+120
 3.71162527e+194
 1.54914375e+280
 4.14923895e+207
 8.53368577e+242
 Inf
 Inf
 3.36391977e+248
 4.12460086e+208
 7.25851693e+253
 2.58740620e+164
 2.81233061e+165
 1.09025872e+199
 1.55179710e+308
 Inf
 2.76788560e+198
 2.33465829e+130
 1.56312917e+148
 6.49559306e+139
 5.01387278e+148
 3.26511292e+152
 2.30118528e+103
 6.23007546e+102
 5.39431447e+132
 6.98097123e+94
 1.97055814e+87
 4.31760761e+94
 2.12267321e+112
 1.42636521e+152
 7.11553187e+123
 4.44159022e+117
 2.15982641e+129
 1.71842196e+150
 1.12332796e+174
 3.13664596e+130
 1.58941462e+124
 1.71505030e+145
 2.32482592e+139
 1.42113071e+219
 2.51361357e+03
 2.51336014e+03
 2.05955971e+116
 1.87576747e+144
 2.19190815e+239
 1.01830324e+168
 1.55860848e+292
 Inf
 Inf
 Inf
 2.51327830e+03
 Inf
 Inf
 Inf
 Inf
 1.45180064e+246
 2.13618687e+182
 3.64897942e+247
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.48613337e+250
 Inf
 2.51328523e+03
 Inf
 Inf
 2.37038046e+177
 4.86936083e+100
 7.12021834e+97
 3.17740369e+105
 2.00219963e+94
 1.36688171e+112
 7.88072851e+119
 1.25403322e+106
 2.88594063e+119
 2.56074370e+140
 2.81367058e+121
 2.87938501e+88
 4.30224094e+82
 2.51438071e+140
 1.95234353e+206
 7.41402833e+146
 2.74114683e+124
 5.92754109e+99
 1.64279637e+107
 7.49407746e+114
 1.87574268e+133
 7.94285459e+232
 1.18570129e+179
 4.35171423e+110
 1.39430406e+101
 1.80806071e+109
 3.67513301e+97
 1.67109841e+100
 1.20151409e+124
 5.40698711e+123
 6.43250090e+122
 1.56336574e+116
 2.08592224e+137
 5.15379316e+140
 1.58389427e+103
 1.89597661e+97
 5.14684437e+112
 1.25162100e+106
 1.25443927e+99
 1.00872530e+111
 2.68810006e+168
 1.07479367e+125
 2.35935101e+68
 4.37752861e+69
 2.69619814e+93
 3.66369133e+107
 6.94132233e+94
 1.89056320e+97
 3.95298540e+229
 Inf
 Inf
 Inf
 2.62293641e+258
 6.77232125e+265
 Inf
 8.05775975e+172
 1.22831235e+105
 1.79048674e+91
 1.19292596e+96
 1.05417490e+147
 1.88833708e+305
 4.29564887e+225
 3.15582142e+284
 Inf
 9.50380665e+259
 2.30348788e+212
 5.06536930e+185
 5.65574747e+169
 1.70045299e+120
 3.36442954e+76
 1.08358435e+72
 8.41624699e+87
 8.82547336e+91
 4.91961605e+88
 7.84085776e+86
 1.15464907e+91
 2.00064081e+107
 1.68411115e+117
 3.88221638e+105
 3.72024047e+94
 6.04109736e+106
 3.59590400e+102
 1.40630943e+96
 4.06884188e+85
 7.28354287e+79
 5.10160079e+89
 8.48447811e+80
 2.45864150e+80
 2.39509469e+90
 1.51149907e+95
 4.58191974e+111
 2.12589435e+127
 1.76437674e+119
 6.96183567e+94
 5.65655101e+90
 8.33333100e+101
 4.71962819e+114
 9.46188927e+114
 2.75683877e+109
 1.48845623e+104
 1.15905014e+97
 3.74401689e+114
 1.02185050e+104
 1.58138722e+90
 1.46117963e+105
 5.92157851e+89
 2.10559049e+81
 5.96373778e+83
 1.47546640e+99
 9.17337457e+123
 6.45198615e+108
 1.48175289e+110
 3.87454628e+105
 4.26711218e+90
 2.22518407e+97
 9.81895556e+96
 3.39353290e+101
 4.07237562e+106
 3.51344924e+99
 2.33249066e+94
 5.45992178e+82
 8.13744279e+92
 1.88063256e+115
 9.81641461e+115
 2.73118207e+98
 3.34915697e+87
 3.15268507e+104
 2.56942552e+89
 3.31633174e+74
 1.29662073e+85
 1.22361970e+78
 1.87760722e+77
 1.32723596e+91
 2.07220628e+95
 6.30141430e+95
 5.09751175e+97
 4.12406602e+112
 2.16390538e+120
 2.16329829e+121
 2.25970203e+119
 9.47539025e+114
 9.03026970e+161
 2.04173460e+171
 6.00299864e+138
 5.25018045e+129
 7.31022457e+146
 2.93022728e+137
 5.76864896e+111
 4.67771106e+124
 1.38059791e+112
 7.59695140e+130
 2.35253484e+146
 4.23869038e+125
 3.12542969e+118
 7.05997854e+123
 1.10097493e+155
 7.35610989e+146
 3.44451044e+146
 3.27221577e+139
 8.02187454e+156
 7.27842229e+147
 4.96795135e+122
 3.77023928e+127
 1.20624870e+129
 6.44151195e+122
 5.18873534e+126
 1.51354206e+136
 3.77490278e+128
 3.41003663e+109
 9.72050482e+108
 1.19601850e+109
 1.55776460e+111
 1.97329735e+116
 9.74163663e+115
 3.39931527e+109
 2.74867393e+106
 1.08589569e+123
 1.41354936e+100
 1.79310542e+104
 1.22781464e+116
 2.30189217e+108
 4.84766906e+113
 2.00059607e+100
 4.32518844e+97
 2.83706890e+101
 6.19660355e+84
 5.39432460e+78
 3.47300753e+99
 6.80043298e+104
 8.43987322e+103
 9.48160116e+94
 4.30155718e+102
 Inf
 2.75361144e+302
 6.44266002e+143
 1.27716034e+130
 4.53414222e+107
 1.00084819e+105
 5.99040410e+134
 9.14627512e+160
 2.20605904e+156
 6.48874150e+158
 3.21748670e+134
 1.88395517e+108
 1.90422185e+118
 1.06470764e+147
 3.55189933e+149
 7.24802858e+170
 1.15421742e+135
 3.26330411e+139
 1.48943123e+163
 1.01874061e+133
 2.57121905e+140
 4.21585036e+141
 8.02642896e+156
 9.19843789e+160
 2.10929314e+137
 3.66129775e+162
 3.72979428e+187
 1.90585997e+144
 2.18194738e+135
 4.39443176e+143
 2.31519410e+130
 5.95178127e+138
 3.68302242e+160
 7.67973075e+145
 8.34465554e+134
 6.47523553e+139
 1.72267464e+145
 5.07138506e+142
 3.62325621e+120
 4.78161663e+119
 8.16986064e+144
 4.22037972e+141
 1.88998834e+144
 1.56894281e+148
 1.16152029e+150
 7.12318544e+157
 1.72374265e+130
 3.51947332e+133
 3.90501302e+129
 1.47913662e+105
 2.09613586e+99
 4.06908874e+106
 5.08314595e+118
 6.66993392e+127
 9.26222602e+123
 6.34116293e+131
 7.78619385e+136
 6.89492544e+100
 2.07431185e+102
 2.42737883e+118
 1.68287379e+120
 2.54595234e+131
 1.71949070e+150
 7.89649093e+172
 6.22578243e+124
 1.14291359e+135
 1.34737477e+193
 2.55652101e+176
 1.10078339e+196
 3.81505867e+178
 8.56943133e+150
 9.85553726e+163
 2.06786848e+179
 3.42649908e+148
 3.04355079e+138
 1.03749441e+143
 1.59391417e+124
 4.67722748e+131
 1.30792282e+144
 4.91395062e+152
 7.42357884e+148
 1.57061206e+148
 3.13555244e+186
 2.61439507e+170
 3.89241787e+153
 3.97053059e+216
 3.75863655e+200
 7.72623370e+145
 3.62751234e+161
 6.66093339e+178
 1.08337750e+187
 2.60908479e+155
 1.29559586e+188
 5.66552805e+174
 2.33748609e+139
 2.94454606e+132
 2.25066924e+122
 4.82765113e+115
 5.64439635e+104
 9.03184440e+106
 1.47144639e+94
 2.49641068e+88
 6.03838459e+86
 6.74330181e+85
 1.11554165e+89
 2.72674823e+103
 1.49769555e+115
 4.51762422e+107
 2.71247648e+124
 3.25493506e+174
 5.21357335e+166
 1.40528342e+131
 6.35404041e+131
 1.15657955e+150
 2.16992860e+132
 1.73212102e+122
 1.23154653e+157
 4.50408887e+168
 4.17313597e+123
 1.40099966e+125
 1.58723309e+124
 6.78896254e+107
 1.00724278e+113
 7.11665894e+96
 9.52012502e+113
 3.09535378e+154
 3.20094561e+116
 3.59998220e+120
 2.07745448e+124
 1.01204393e+113
 3.88157080e+129
 5.24592516e+145
 2.31620632e+130
 3.49306337e+117
 6.83833606e+104
 2.01145668e+107
 3.87114230e+105
 4.80286909e+115
 1.47661053e+143
 6.61048621e+133
 9.99626000e+167
 5.83115119e+186
 6.44254037e+151
 2.57233131e+150
 7.41985155e+148
 3.91820085e+129
 1.18607546e+145
 5.04367365e+127
 2.30854965e+108
 2.12335463e+127
 3.88925989e+113
 3.89826913e+92
 2.51346987e+03
 2.51550716e+03
 2.51332871e+03
 Inf
 2.83246902e+202
 2.05620006e+171
 7.37825705e+146
 1.82530912e+140
 1.72663532e+165
 3.88106455e+173
 2.57233743e+153
 1.50756282e+118
 2.75925296e+109
 2.38834332e+115
 1.01692947e+108
 2.49106574e+99
 2.38701445e+91
 1.60178700e+97
 3.69212390e+119
 7.74473236e+120
 1.27869429e+126
 1.37568513e+167
 4.22520056e+130
 4.14325169e+123
 9.42895414e+159
 1.31650405e+144
 1.52024359e+114
 2.75240271e+106
 8.15790918e+110
 6.14131586e+124
 2.54249529e+153
 2.96980258e+157
 2.48911397e+142
 1.06617696e+148
 4.05329512e+136
 5.12578034e+118
 5.64884048e+104
 4.50322397e+107
 5.16292371e+126
 9.12264608e+160
 8.24375612e+266
 1.44588484e+222
 1.04098061e+235
 1.03505891e+212
 8.99617848e+206
 2.75466027e+185
 1.63131627e+149
 1.65481913e+139
 1.33580272e+122
 2.09002377e+137
 2.16302559e+152
 1.57265875e+147
 1.17455777e+132
 2.54837482e+153
 1.23054032e+169
 7.34834866e+140
 2.41959934e+111
 7.90691322e+108
 5.97808159e+120
 9.75375504e+115
 3.88549794e+129
 1.51569174e+114
 1.52389642e+106
 3.75720045e+114
 9.17572114e+117
 1.06331531e+125
 1.76333946e+119
 1.81828079e+109
 6.36834614e+109
 1.87228808e+133
 3.35998257e+147
 6.76407155e+128
 2.13693773e+127
 1.50376659e+137
 5.03505010e+127
 1.69326285e+126
 1.71174774e+130
 4.14194274e+135
 3.11830798e+154
 7.82642966e+136
 2.17957822e+105
 2.74513066e+106
 3.46892551e+117
 9.78840241e+100
 3.91724031e+95
 1.19962522e+102
 7.01921839e+123
 2.15416207e+152
 9.00545272e+209
 2.48636890e+203
 4.63768080e+157
 1.59329950e+128
 2.83423339e+108
 1.22831699e+134
 2.13022926e+143
 2.73922563e+124
 1.70456480e+158
 2.25375593e+254
 2.26829181e+183
 2.52851620e+213
 Inf
 3.12009734e+260
 1.43054421e+191
 4.04014597e+118
 3.91232946e+126
 1.16029051e+179
 1.90244636e+192
 2.86829375e+224
 4.37458769e+210
 8.58623433e+196
 3.04789452e+189
 8.97596027e+153
 3.94643509e+144
 9.83972654e+163
 3.64865338e+192
 1.04909522e+230
 7.78241909e+251
 5.73062607e+213
 7.53721080e+256
 9.74418906e+278
 1.01774255e+228
 Inf
 1.59399588e+277
 2.14201342e+182
 1.01730977e+159
 2.04039916e+171
 7.41195340e+190
 6.56419644e+201
 Inf
 Inf
 Inf
 Inf
 2.51329757e+03
 2.51333394e+03
 Inf
 Inf
 1.15918526e+218
 6.98155164e+126
 1.47839118e+94
 3.81924623e+87
 4.77286807e+103
 8.04762556e+124
 1.09273851e+136
 2.31806733e+98
 2.27130307e+74
 5.41471820e+82
 3.14499536e+104
 6.39227799e+122
 6.57576045e+133
 3.80658730e+122
 4.69353935e+124
 1.11242804e+153
 2.67228805e+158
 3.65548409e+121
 7.99063090e+93
 1.18927407e+90
 4.67166371e+105
 2.45985505e+107
 3.34908146e+95
 3.21322301e+98
 5.69646390e+105
 3.68077532e+107
 2.46587147e+113
 5.69205720e+135
 1.20878027e+114
 1.00875536e+91
 8.16684812e+92
 2.22722642e+97
 3.71052551e+94
 1.11928554e+89
 1.65357209e+101
 6.57013735e+110
 3.87160134e+113
 1.17032398e+118
 9.67153006e+125
 1.67485409e+121
 2.26355789e+106
 6.36218372e+109
 1.67770782e+100
 1.47729789e+110
 7.87557103e+119
 5.92143833e+99
 4.06543938e+101
 1.18717445e+115
 4.18409223e+141
 3.62248186e+120
 1.51228220e+114
 4.79058450e+133
 4.84052036e+103
 5.85882753e+93
 8.07976987e+94
 1.38588352e+98
 5.14030025e+109
 1.66668619e+121
 2.13245251e+127
 5.54755346e+107
 1.47168638e+109
 6.00055629e+134
 6.59771345e+133
 4.30221146e+91
 1.84528257e+92
 4.96785139e+128
 1.98292788e+116
 1.00727027e+102
 3.18226305e+105
 1.32378951e+117
 3.56995646e+124
 3.51384627e+133
 2.16633784e+138
 9.63603642e+113
 1.99382931e+101
 1.00971435e+120
 3.89046336e+129
 2.73071407e+124
 3.99188331e+132
 3.72824283e+111
 2.08842905e+75
 2.75389837e+86
 2.20289735e+126
 2.83796556e+127
 3.92221588e+126
 3.53222823e+149
 2.30173045e+147
 9.11807584e+143
 1.91557254e+157
 1.59319833e+128
 2.90586318e+129
 2.42777762e+123
 2.56955614e+133
 8.32024893e+134
 1.01449963e+113
 1.78664623e+105
 5.94762905e+114
 6.13462148e+119
 8.47568631e+103
 2.78010342e+120
 1.07874837e+137
 1.42841815e+123
 2.42389529e+123
 2.99402886e+111
 2.90848562e+122
 1.34271560e+154
 1.04240898e+32
 2.80517283e+24
 9.00776123e+48
 2.07125354e+92
 1.32373750e+154
 4.54642540e+20
 8.71943208e+11
 4.99076129e+12
 1.42076570e+20
 1.17577189e+52
 1.16742545e+33
 3.02476017e+31
 2.55621839e+33
 2.17422174e+37
 6.63168520e+20
 4.82735878e+14
 1.10626233e+15
 2.69987085e+16
 1.18202821e+28
 3.38307352e+38
 2.65285307e+18
 2.88491392e+14
 4.57376815e+14
 1.10680846e+15
 5.36429077e+14
 3.09124448e+14
 2.58542811e+14
 3.51775557e+14
 2.58630898e+16
 1.54455200e+29
 6.35244519e+45
 2.09412678e+19
 2.80639472e+14
 1.77296608e+15
 4.06345048e+14
 2.60862850e+14
 1.05204952e+15
 5.53199653e+14
 7.05696930e+14
 5.85426730e+15
 1.78253895e+26
 3.63253695e+41
 1.55035391e+19
 4.94877207e+14
 8.29016199e+14
 6.14253377e+14
 5.46250937e+14
 4.97796082e+14
 2.89736475e+14
 1.95432861e+14
 4.86538661e+15
 9.89224910e+27
 1.24132796e+44
 1.30395171e+19
 8.70912469e+13
 2.25559633e+12
 2.33095227e+11
 1.04075932e+12
 2.37811704e+11
 2.51699532e+11
 2.54404073e+11
 7.65543945e+11
 1.40153249e+20
 1.08711229e+36
 8.63250674e+14
 2.78731281e+11
 9.09153030e+11
 1.85743409e+11
 2.54833106e+11
 2.88140937e+11
 2.91919269e+11
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 3.89786616e+31
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 2.51348329e+03
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 2.51344932e+03
 2.51358411e+03
 2.51360552e+03
 2.51351049e+03
 2.51349810e+03
 2.51331897e+03
 Inf
 Inf
 2.51327432e+03
 Inf
 Inf
 Inf
 2.51333590e+03
 Inf
 Inf
 Inf
 Inf
 2.51342447e+03
 2.51357206e+03
 2.51350282e+03
 2.51341912e+03
 2.51338112e+03
 2.51337221e+03
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 2.51390992e+03
 2.51388623e+03
 2.51353936e+03
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 2.51347252e+03
 2.51335107e+03
 2.51334043e+03
 2.51338572e+03
 2.51346117e+03
 2.51334512e+03
 Inf
 Inf
 6.84136988e+265
 Inf
 Inf
 2.51328860e+03
 2.51330103e+03
 2.51328286e+03
 Inf
 Inf
 2.51343626e+03
 2.51331327e+03
 Inf
 2.51328267e+03
 2.51334354e+03
 2.51338177e+03
 2.51328381e+03
 2.51331648e+03
 2.51349809e+03
 2.51342217e+03
 Inf
 Inf
 2.51327415e+03
 2.51334672e+03
 2.51335783e+03
 2.51330236e+03
 2.51329109e+03
 2.51330580e+03
 2.51340945e+03
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 2.51341837e+03
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 2.51359980e+03
 2.51370601e+03
 2.51374067e+03
 2.51353123e+03
 2.51348238e+03
 2.51359754e+03
 2.51365779e+03
 2.51365525e+03
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 2.51372717e+03
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 2.51379083e+03
 2.51400691e+03
 2.51380232e+03
 2.51358190e+03
 2.51352822e+03
 2.51338242e+03
 2.51330651e+03
 2.51327432e+03
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 2.51610732e+03
 2.52251184e+03
 2.48411819e+03
 2.52235490e+03
 2.51902476e+03
 2.51700594e+03
 2.51577628e+03
 2.51421959e+03
 2.51379084e+03
 2.51385561e+03
 2.51367396e+03
 2.51332284e+03
 2.51327438e+03
 2.51327883e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327527e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51332240e+03
 2.51327780e+03
 Inf
 2.51327843e+03
 2.51336250e+03
 2.51330759e+03
 2.51347697e+03
 2.51353326e+03
 2.51344683e+03
 2.51346203e+03
 2.51338439e+03
 2.51344519e+03
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 2.51346550e+03
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 2.51352721e+03
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 2.51331648e+03
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 2.51352723e+03
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 2.51340366e+03
 2.51336428e+03
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 2.51333201e+03
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 2.51330440e+03
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 2.51338177e+03
 2.51389573e+03
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 2.51330405e+03
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 2.51333492e+03
 2.51338308e+03
 2.51346376e+03
 2.51338705e+03
 2.51335726e+03
 2.51335956e+03
 2.51343466e+03
 2.51343630e+03
 2.51338506e+03
 2.51343626e+03
 2.51369562e+03
 2.51334512e+03
 2.51370601e+03
 2.51374889e+03
 Inf
 2.51327640e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328565e+03
 Inf
 Inf
 Inf
 2.51328860e+03
 Inf
 Inf
 2.51327856e+03
 2.51329109e+03
 2.51335498e+03
 2.51345183e+03
 2.51336132e+03
 Inf
 Inf
 2.51328697e+03
 2.51330795e+03
 2.51329666e+03
 2.51327514e+03
 2.51327631e+03
 2.51339660e+03
 2.51337853e+03
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 2.51331566e+03
 2.51328502e+03
 2.51327621e+03
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 2.51346728e+03
 2.51338242e+03
 2.51329911e+03
 2.51337408e+03
 2.51342757e+03
 2.51333492e+03
 2.51334459e+03
 2.51329696e+03
 2.51327780e+03
 Inf
 Inf
 2.51335107e+03
 2.51330580e+03
 2.51328342e+03
 2.51327465e+03
 2.51327563e+03
 2.51328178e+03
 2.51328652e+03
 2.51341761e+03
 2.51328421e+03
 2.51329295e+03
 2.51330723e+03
 2.51328884e+03
 2.51332197e+03
 2.51328742e+03
 2.51329880e+03
 2.51334198e+03
 2.51340726e+03
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 2.51348970e+03
 2.51354866e+03
 2.51355918e+03
 2.51340010e+03
 2.51332024e+03
 2.51330440e+03
 2.51337346e+03
 2.51339383e+03
 2.51344191e+03
 2.51361589e+03
 2.51348238e+03
 2.51345016e+03
 2.51344602e+03
 2.51338047e+03
 2.51337409e+03
 2.51348878e+03
 2.51345099e+03
 2.51338047e+03
 2.51355389e+03
 2.51369692e+03
 2.51350472e+03
 2.51344684e+03
 2.51336309e+03
 2.51330906e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328304e+03
 2.51329268e+03
 Inf
 2.51328126e+03
 2.51328789e+03
 Inf
 2.51337035e+03
 2.51336847e+03
 2.51328143e+03
 2.51332871e+03
 2.51340366e+03
 2.51360094e+03
 2.51348419e+03
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 2.51341536e+03
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 2.51340223e+03
 2.51335898e+03
 2.51333941e+03
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 2.51330440e+03
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 2.51332024e+03
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 2.51365165e+03
 2.51372852e+03
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 2.51341611e+03
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 2.51336668e+03
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 2.51331288e+03
 2.51341091e+03
 2.51350473e+03
 2.51334459e+03
 2.51335725e+03
 2.51358080e+03
 2.51348694e+03
 2.51333890e+03
 2.51343546e+03
 2.51340010e+03
 2.51328884e+03
 2.51340081e+03
 2.51364074e+03
 2.51351535e+03
 2.51344766e+03
 2.51352223e+03
 2.51357314e+03
 2.51342524e+03
 2.51334302e+03
 2.51332733e+03
 2.51327520e+03
 Inf
 2.51329849e+03
 2.51357970e+03
 2.51368665e+03
 2.51363593e+03
 2.51343149e+03
 2.51337661e+03
 2.51348878e+03
 2.51336850e+03
 2.51328441e+03
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 2.51342140e+03
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 2.51340152e+03
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 2.51400181e+03
 2.51394845e+03
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 2.51367020e+03
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 2.51342757e+03
 2.51335611e+03
 2.51340581e+03
 2.51343149e+03
 2.51337035e+03
 2.51347966e+03
 2.51348333e+03
 2.51350092e+03
 2.51354244e+03
 2.51328742e+03
 2.51334250e+03
 2.51357423e+03
 2.51366896e+03
 2.51424685e+03
 2.51368281e+03
 2.51330236e+03
 2.51341165e+03
 2.51358190e+03
 2.51349715e+03
 2.51332417e+03
 2.51329462e+03
 2.51328982e+03
 2.51335385e+03
 2.51339870e+03
 2.51332871e+03
 2.51342064e+03
 2.51348329e+03
 2.51350664e+03
 2.51351927e+03
 2.51339178e+03
 2.51331406e+03
 2.51327414e+03
 Inf
 Inf
 2.51327897e+03
 Inf
 Inf
 Inf
 Inf
 2.51327690e+03
 2.51328362e+03
 2.51327701e+03
 2.51341387e+03
 2.51338839e+03
 2.51340366e+03
 2.51342140e+03
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 2.51331648e+03
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 2.51340223e+03
 2.51340008e+03
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 2.51339660e+03
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 2.51337534e+03
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 2.51334512e+03
 2.51356558e+03
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 2.51341313e+03
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 2.51328608e+03
 2.51342217e+03
 2.51379370e+03
 2.51354244e+03
 2.51346203e+03
 2.51372183e+03
 2.51390518e+03
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 2.51361122e+03
 2.51370994e+03
 2.51351340e+03
 2.51360207e+03
 2.51394365e+03
 2.51347697e+03
 2.51341837e+03
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 2.51349337e+03
 2.51370210e+03
 2.51357531e+03
 2.51338047e+03
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 2.51351633e+03
 2.51443350e+03
 2.51631522e+03
 2.51647064e+03
 2.51610731e+03
 2.51615397e+03
 2.51630479e+03
 2.51535525e+03
 2.51520894e+03
 2.51530106e+03
 2.51507561e+03
 2.51560621e+03
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 2.51572609e+03
 2.51545103e+03
 2.51583313e+03
 2.51671596e+03
 2.51576990e+03
 2.51554303e+03
 2.51617126e+03
 2.51610677e+03
 2.51690663e+03
 2.51701418e+03
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 2.51642718e+03
 2.51566737e+03
 2.51580438e+03
 2.51587157e+03
 2.51563668e+03
 2.51570116e+03
 2.51600125e+03
 2.51651965e+03
 2.51663558e+03
 2.51659147e+03
 2.51689148e+03
 2.51725976e+03
 2.51688008e+03
 2.51625311e+03
 2.51607080e+03
 2.51560624e+03
 2.51658076e+03
 2.51692206e+03
 2.51623591e+03
 2.51546866e+03
 2.51425472e+03
 2.51390993e+03
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 2.51411624e+03
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 2.51393225e+03
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 2.51372051e+03
 2.51376261e+03
 2.51402747e+03
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 2.51392106e+03
 2.51374747e+03
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 2.51361705e+03
 2.51390833e+03
 2.51373794e+03
 2.51350760e+03
 2.51349249e+03
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 2.51375710e+03
 2.51361356e+03
 2.51361933e+03
 2.51377242e+03
 2.51383759e+03
 2.51400691e+03
 2.51382570e+03
 2.51433300e+03
 2.51457462e+03
 2.51411989e+03
 2.51439105e+03
 2.51392748e+03
 2.51390527e+03
 2.51385716e+03
 2.51365532e+03
 2.51379944e+03
 2.51379737e+03
 2.51380522e+03
 2.51353123e+03
 2.51341239e+03
 2.51366272e+03
 2.51356557e+03
 2.51334565e+03
 2.51339452e+03
 2.51338974e+03
 2.51329241e+03
 2.51327479e+03
 Inf
 Inf
 2.51327429e+03
 2.51327465e+03
 2.51327456e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
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